Hermine Smikle.
Topic: Logic Statements.
Objectives
(a) students will be able to tell sentences that are statements.
(b) Use connectives to form compound statements
Development
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(a) List various different sentences on C. B. have students decide whether each sentence is true or false. (Does the sentences convey some specific idea).
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Examples
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(1) It is blue.
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(2) Is your homework finish yet?
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(3) Three is a prime number.
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(4) February has 31 days.
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(5) George Bush is president.
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1. Discuss each sentence indicate that those sentences that cannot be said to be true or false. Define a statement as a sentence that has one idea that can be classified as either true or false.
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2. Discuss the criteria of a simple statement. List various examples of these on C.B. Have students identify the one idea of these statements.
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3. Introduce the vocabulary “connective”. From simple statement make up compound statements. Give these their names as they are made up.
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Example:
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Today is sunny and I will take a walk. 28
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I will go dancing or I will go riding.
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I will go riding if you will come with me. Introduce idea from algebra that letters can be used to replace numbers. Here letters will be used to replace statements.
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Let Today is Monday = P
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I will go dancing = Q
Make up mathematical sentences
P and Q [use this idea with different connectives] Introduce the symbols for each connectives. Thus P and Q can be written as P ^ Q.
Evaluation: Have student make up their own simple and compound sentences.
Give statements and have students write them using the symbols.
